Relating autocorrelations and crossing rates of continuous- and discrete-valued hydrologic processes

dc.contributor.authorSalas, JD
dc.contributor.authorChung, CH
dc.contributor.authorFernandez, B
dc.date.accessioned2024-01-10T14:21:32Z
dc.date.available2024-01-10T14:21:32Z
dc.date.issued2001
dc.description.abstractThe return period and risk of extreme droughts can be derived from hydrologic series of wet and dry years. If Z(t) denotes a continuous-valued hydrologic series such as annual streamflows, a series of wet and dry years, X-t, can be obtained by clipping Z(t) by z(0) such that X-t = 1 if Z(t) greater than or equal to z(0), and X-t = 0 if Z(t) < z(0). A method is presented for relating the autocorrelation functions <rho>(k)(Z) and rho (k)(X). In addition, the relationships between the crossing rate gamma and rho (j)(Z) and rho (j)(X) are derived. The method assumes that the underlying hydrologic series is stationary and normally distributed. The applicability of the methods and derived relationships has been examined and tested by using annual streamflow series at several sites and by simulation experiments based on low-order ARMA and DARMA models. The analysis of 23 series of annual flows reveals that the derived relationship between rho (k)(X) and rho (k)(Z) are applicable and reliable. The same conclusion is reached when simulated samples from the ARMA model are utilized. In addition, it has been shown that the autocorrelation function,(X) obtained (by using the derived relationship) from rho (k)(Z) of a low-order ARMA model, can be fitted by a low-order DARMA model. The significance of the relationships between the referred autocorrelation functions has been documented in terms of estimating certain drought properties. It has been shown that significant differences can be obtained for estimating the return periods and risks of certain drought events if the sample autocorrelations rho (k)(X) are used instead of the derived autocorrelations <(<rho>)over tilde>X-k). Furthermore, it has been shown that the derived relationships between gamma and rho (t)(Z) and gamma and rho (i)(X) apply quite well for annual streamflows.
dc.fechaingreso.objetodigital2024-04-25
dc.format.extent10 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1061/(ASCE)1084-0699(2001)6:2(109)
dc.identifier.issn1084-0699
dc.identifier.urihttps://doi.org/10.1061/(ASCE)1084-0699(2001)6:2(109)
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/79701
dc.identifier.wosidWOS:000171431700003
dc.information.autorucIngeniería;Fernández B;S/I;99465
dc.issue.numero2
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final118
dc.pagina.inicio109
dc.publisherASCE-AMER SOC CIVIL ENGINEERS
dc.revistaJOURNAL OF HYDROLOGIC ENGINEERING
dc.rightsacceso restringido
dc.subjectSERIES
dc.subjectWET
dc.subject.ods06 Clean Water and Sanitation
dc.subject.ods13 Climate Action
dc.subject.odspa06 Agua limpia y saneamiento
dc.subject.odspa13 Acción por el clima
dc.titleRelating autocorrelations and crossing rates of continuous- and discrete-valued hydrologic processes
dc.typeartículo
dc.volumen6
sipa.codpersvinculados99465
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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